<div class="csl-bib-body">
<div class="csl-entry">Paraschis, P. (2026, July 2). <i>hp-Version robust interior penalty discontinuous Galerkin methods for the p-Laplacian</i> [Conference Presentation]. Third Congress of Greek Mathematicians, Athens, Greece.</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/229352
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dc.description.abstract
We study the full discretization of the elliptic and parabolic $p$-Laplacian using discontinuous Galerkin methods. First, we consider an $hp$-version robust interior penalty discontinuous Galerkin method for the elliptic $p$-Laplacian on simplicial, as well as essentially arbitrarily-shaped polygonal and curved meshes. By employing novel quasi-norm trace–inverse estimates, we establish quasi-norm error bounds of optimal order with respect to the local mesh sizes and of slightly reduced order with respect to the local polynomial degrees. Moreover, the analogous results for a space-time discontinuous Galerkin formulation of the parabolic $p$-Laplacian will be discussed. Numerical experiments are presented to validate and illustrate the theoretical results. This is based on joint work with Konstantinos Chrysafinos (NTU Athens & IACM, FORTH) and Emmanuil H. Georgoulis (NTU Athens & Heriot-Watt Uni. & IACM, FORTH).
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dc.language.iso
other
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dc.subject
Numerical Analysis
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dc.subject
Finite Elements
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dc.subject
Nonlinear PDEs
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dc.title
hp-Version robust interior penalty discontinuous Galerkin methods for the p-Laplacian
